Nonintegrability of the two-body problem in constant curvature spaces

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dc.creatorShchepetilov, Alexey V.
dc.date2006-01-16
dc.date2006-10-08
dc.date.accessioned2026-07-07T06:58:57Z
dc.date.available2026-07-07T06:58:57Z
dc.descriptionWe consider the reduced two-body problem with the Newton and the oscillator potentials on the sphere ${\bf S}^{2}$ and the hyperbolic plane ${\bf H}^{2}$. For both types of interaction we prove the nonexistence of an additional meromorphic integral for the complexified dynamic systems.
dc.description20 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/math/0601382
dc.identifierhttp://arxiv.org/abs/math/0601382
dc.identifierJ. Phys. A: Math. Gen. V. 39 (2006), pp. 5787-5806
dc.identifierdoi:10.1088/0305-4470/39/20/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107570
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject70F05; 37J30; 34M35; 70H07
dc.titleNonintegrability of the two-body problem in constant curvature spaces
dc.typetext

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